The multiple regression model Y = 0 + 1 X 1 + 2 X 2 + was fit using n = 7 observ
ID: 2929914 • Letter: T
Question
The multiple regression model Y = 0 + 1X1 + 2X2 + was fit using n = 7 observations. Use the partial ANOVA table given below to answer questions 8 – 10.
Source
Df
SS
MS
Regression
2
125.92
C
Error
A
112.94
D
Total
B
238.86
What should be the value for B, total degrees of freedom?
What should be the value for C, mean square regression? (round your answer to two decimal places)
What should be the value for D, mean square error? (round your answer to three decimal places)
Source
Df
SS
MS
Regression
2
125.92
C
Error
A
112.94
D
Total
B
238.86
Explanation / Answer
B : Degrees of freedom for Total =Number of observations - 1 = n-1 = 7-1 =6
C : MS : Mean Square regression : Mean sum of squares for regression = Sum of squares of regression (SS-Regression) / Degrees of freedom for regression = 125.92 /2 = 62.96
D : Mean square error : Sum of squares of Error (SS-Error) / Degrees of freedom for Error = 112.94/A
A: Degrees of freedom for Error : Degrees of freedom for Total - Degrees of freedom for regression = B-2 = 6-2 =4
D : Mean square error : Sum of squares of Error (SS-Error) / Degrees of freedom for Error = 112.94/A = 112.94/4=28.235
Mean square error : Sum of squares of Error (SS-Error) / Degrees of freedom for Error = 28.235
Source Df SS MS Regression 2 125.92 62.96 Error 4 112.94 28.235 Total 6 238.86